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Synthesis of fixed-architecture, robust \(H_2\) and \(H_\infty\) controllers. (English) Zbl 0996.93074

The Popov multiplier has been used to develop probability one homotopy algorithms for the design of robust controllers with guaranteed \(H_2\) or \(H_\infty\) performance.
It is found that the numerical algorithm for robust \(H_\infty\) performance is much more computationally intensive than that for robust \(H_2\) performance.

MSC:

93D10 Popov-type stability of feedback systems
93B36 \(H^\infty\)-control
93D21 Adaptive or robust stabilization
93B50 Synthesis problems
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